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Geometry of Phase Transitions
Provider: Faculty of Science

Activity no.: 5569-25-07-31
Enrollment deadline: 21/04/2025
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time28.04.2025, at: 00:00 - 02.05.2025, at: 16:00
Regular seats40
ECTS credits2.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserNiels Martin Møller    E-mail address: nmoller@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Exam formCourse participation
Course workload
Course workload categoryHours
Participation39.00
Lectures30.00
Sum69.00
Aim and content
There has been much recent progress on approximating minimal surfaces by various ways and using these methods to show results about minimal surfaces themselves. The goal of this course is to give a substantial overview of some of these very recent, important results - and the techniques involved - directly from some of the experts who developed them. We expect/hope that we (and other local participants) will create an accompanying set of notes to record the contents of these lectures in an approachable format which can be useful to experts and students of the field in the future as well. Perhaps we can also arrange for the lectures to be recorded and uploaded on, say, YouTube.

Formal requirements
Recommended Academic Qualifications:

MSc degree with courses in Riemannian geometry (equivalent to e.g. NMAK20006U Riemannian Geometry) and partial differential equations (equivalent to e.g. NMAK16022U Partial Differential Equations), as well some interest in/exposure to minimal surfaces and/or geometric measure theory.

Learning outcome
Knowledge:
- Learn about Allen–Cahn, Ginzburg–Landau approximations to minimal surfaces and recent applications.
- Learn about nonlocal minimal surfaces and their recent applications to the study of minimal surfaces.

Skills:
- Learn about some of the most important technical ingredients that go into the lecturers' works.

Competences:
- To be able to apply the involved techniques in their own work, if the occasion ever arises.

Target group
Fairly advanced PhD students (in exceptional cases, very MSc advanced students) and postdocs in geometric analysis.

Teaching and learning methods
2 hours of lectures by each lecturer per day of the masterclass week, with ample time for the participants to discuss with the lecturers and amongst themselves.

Remarks
Registration: https://www.math.ku.dk/english/calendar/events/geometry-of-phase-transitions/

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